Orthogonal Projections Courses and Certifications

Matrix Algebra for Engineers

883 reviews

This course is all about matrices, and concisely covers the linear algebra that an engineer should know. We define matrices and how to add and multiply them, and introduce some special types of matrices.

• Coursera
• 19 hours 35 minutes
• On-Demand
• Paid Course

• Best of All Time

Projection Theory

Explore how sets behave under orthogonal projections, connecting harmonic analysis, number theory, additive combinatorics, and dynamics through fundamental methods and recent developments.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Inside Livermore Lab

Model Reduction via Optimization of Projection Operators and Reduced-Order Dynamics

Explore non-intrusive methods for computing reduced-order models, focusing on systems with large-amplitude transient growth. Learn techniques to identify oblique projection operators and reduced-order dynamics from data.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Mathematics for Machine Learning: PCA

3178 ratings at Coursera

Explore mathematical foundations of Principal Component Analysis (PCA) for dimensionality reduction. Learn statistics, inner products, orthogonal projections, and derive PCA from a geometric perspective.

• Coursera
• 20 hours 39 minutes
• On-Demand
• Paid Course

Wrath of Math

Orthogonal Projections on Inner Product Subspaces - Linear Algebra

Explore orthogonal projections in inner product spaces, including the projection theorem and methods for calculating projections onto subspaces and orthogonal components.

• YouTube
• 14 minutes
• On-Demand
• Free Video

Math with Professor V

Finally Understand Vector, Scalar, and Orthogonal Projections - Conceptually

Grasp vector, scalar, and orthogonal projections through geometric intuition rather than memorizing formulas, building from vector components to distance problems.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Linear Algebra: Orthogonality and Diagonalization

46 ratings at Coursera

Explore orthogonality, diagonalization, and symmetric matrices, gaining skills applicable to AI and machine learning. Develop a strong foundation for advanced studies in data science and mathematics.

• Coursera
• 9 hours 15 minutes
• On-Demand
• Paid Course

Fields Institute

Anamnesic Neural Differential Equations with Orthogonal Polynomial Projections

Explore innovative neural differential equations using orthogonal polynomial projections for enhanced machine learning in dynamical systems.

• YouTube
• 24 minutes
• On-Demand
• Free Video

IIT Roorkee;  NPTEL

Advanced Linear Algebra

Comprehensive exploration of linear algebra, covering theoretical concepts and computational aspects. Includes advanced topics like canonical forms, inner product spaces, and singular value decomposition.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

NPTEL;  IIT Madras

Applied Linear Algebra

Explore vector spaces, linear maps, eigenvalues, and applications in systems, algorithms, and optimization. Gain practical skills in linear algebra for various fields.

• YouTube
• 1 day
• On-Demand
• Free Video

Subspace Capsule Network

Explore Subspace Capsule Networks: a novel approach to neural networks that preserves information, norms, and angles. Learn about its principles, applications, and advantages in image classification and generation.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Insights into Mathematics

Petrie Polygons of a Polyhedron - Universal Hyperbolic Geometry

Explore Petrie polygons on polyhedra, focusing on Platonic solids. Learn about tesselations, Schlafli symbols, and orthogonal projections in this geometric journey.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Discover AI

Self-Correcting Delta Transformer - Combining Princeton's Deep Delta Learning and Reasoning Insights

Discover how Princeton's breakthrough research enables AI transformers to forget incorrect reasoning and perform true self-correction through geometric erasure mechanisms.

• YouTube
• 34 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Off-Diagonal Spectral Cluster Asymptotics on Zoll Manifolds

Explore off-diagonal spectral cluster asymptotics on Zoll manifolds, examining universal asymptotic behavior of spectral cluster kernels and implications for monochromatic random waves in Riemannian geometry.

• YouTube
• 56 minutes
• On-Demand
• Free Video

PCS Institute for Basic Science

Geometric Decomposition of Entropy Production

Explore geometric decomposition of entropy production in nonequilibrium systems, analyzing different driving mechanisms and their contributions to excess and housekeeping entropy.

• YouTube
• 31 minutes
• On-Demand
• Free Video